等差数列{an}的公差d≠0,数列{bn}是等比数列,若a1=b1,a3=b3,a7=b5,则b11=( )
A. a63
B. a36
C. a31
D. a13
人气:372 ℃ 时间:2019-08-21 04:31:18
解答
∵数列{b
n}是等比数列
∴b
32=b
1•b
5又∵a
1=b
1,a
3=b
3,a
7=b
5∴(b
1+2d)
2=b
1•(b
1+6d)
∴b
1=2d
∴
b11=b1•q10=a1•()2=32a1=a1+d(63−1)∴b
11=a
63
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